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Not if they start making killbots.
Our killbot manufacturing process needs 50% of the oxygen in the earth's atmosphere. Thankfully, unlike GPUs and RAM, which we needed to purchase from their manufacturers, we can extract oxygen out of the air at outrageous volumes and minimal cost. This effort has already begun, therefore by the time you read this, you are unlikely to have the ability to disagree, much less protest. And if you do somehow manage to protest, say hi to one of our many killbots, who are likely to also be in attendance, en masse.
Actually we can do classical theory of strategic interaction here. There will be a range of acceptable negotiated settlements to both parties since both parties have some estimate E of the expected balance of power resulting after a war. If A is the amount of surplus value Anthropic expects to lose in a war and H is expected amount of value humanity expects to lose in a war, the the range [max(E - H, E - A), min (E + H, E + A)] gives a whole continuum of mutually acceptable settlements.

Now there will be bargaining friction given that any power sharing agreement with Anthropic will likely increase their future capacity and thus the future expected balance of power, but maybe AI has a long enough utility horizon that we should all expect to be dead by the time it realizes the long-term expectation advantage

They already exist and Ukraine is still stuck in an untenable position because they gave up their nukes.
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